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Half Edge of Half Tetrahedron given Surface to Volume Ratio Formula

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GoHalf Edge of Half Tetrahedron given Height Formula

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The Half Edge of Half Tetrahedron is defined as the half of the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron. Check FAQs

l e(Half) = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{R A/V}{12}) \cdot \sqrt{2}}

l_e(Half) - Half Edge of Half Tetrahedron?R_A/V - Surface to Volume Ratio of Half Tetrahedron?

Half Edge of Half Tetrahedron given Surface to Volume Ratio Example

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Here is how the Half Edge of Half Tetrahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Half Edge of Half Tetrahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Half Edge of Half Tetrahedron given Surface to Volume Ratio equation looks like.

4.7349 = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2}{12}) \cdot \sqrt{2}}

4.7349m = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2m⁻¹}{12}) \cdot \sqrt{2}}

4.7349 = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2}{12}) \cdot \sqrt{2}}

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Half Edge of Half Tetrahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Half Edge of Half Tetrahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

l e(Half) = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{R A/V}{12}) \cdot \sqrt{2}}

Next Step Substitute values of Variables

∴

l e(Half) = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2m⁻¹}{12}) \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

l e(Half) = \frac{\frac{\sqrt{3}}{2} + \frac{1}{4}}{(\frac{2}{12}) \cdot \sqrt{2}}

Next Step Evaluate

∴

l e(Half) = 4.73489478595459m

LAST Step Rounding Answer

∴

l e(Half) = 4.7349m

Half Edge of Half Tetrahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Half Edge of Half Tetrahedron

The Half Edge of Half Tetrahedron is defined as the half of the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron.

Symbol: l_e(Half)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Half Edge of Half Tetrahedron

Surface to Volume Ratio of Half Tetrahedron

Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Half Tetrahedron

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Half Edge of Half Tetrahedron

Go Half Edge of Half Tetrahedron

l e(Half) = \frac{l e(Tetrahedral)}{2}

Go Half Edge of Half Tetrahedron given Height

l e(Half) = \frac{\sqrt{6} \cdot h}{2}

Go Half Edge of Half Tetrahedron given Total Surface Area

l e(Half) = \frac{\sqrt{\frac{TSA}{\frac{\sqrt{3}}{2} + \frac{1}{4}}}}{2}

Go Half Edge of Half Tetrahedron given Volume

l e(Half) = \frac{{(\frac{24 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}{2}

How to Evaluate Half Edge of Half Tetrahedron given Surface to Volume Ratio?

Half Edge of Half Tetrahedron given Surface to Volume Ratio evaluator uses Half Edge of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(2)) to evaluate the Half Edge of Half Tetrahedron, The Half Edge of Half Tetrahedron given Surface to Volume Ratio formula is defined as the half of the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron, calculated using its surface-to-volume ratio. Half Edge of Half Tetrahedron is denoted by l_e(Half) symbol.

How to evaluate Half Edge of Half Tetrahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Half Edge of Half Tetrahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Half Tetrahedron (R_A/V) and hit the calculate button.

FAQs on Half Edge of Half Tetrahedron given Surface to Volume Ratio

What is the formula to find Half Edge of Half Tetrahedron given Surface to Volume Ratio?

The formula of Half Edge of Half Tetrahedron given Surface to Volume Ratio is expressed as Half Edge of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(2)). Here is an example- 4.734895 = (sqrt(3)/2+1/4)/((2/12)*sqrt(2)).

How to calculate Half Edge of Half Tetrahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Half Tetrahedron (R_A/V) we can find Half Edge of Half Tetrahedron given Surface to Volume Ratio using the formula - Half Edge of Half Tetrahedron = (sqrt(3)/2+1/4)/((Surface to Volume Ratio of Half Tetrahedron/12)*sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Half Edge of Half Tetrahedron?

Here are the different ways to Calculate Half Edge of Half Tetrahedron-

Half Edge of Half Tetrahedron=Tetrahedral Edge of Half Tetrahedron/2
Half Edge of Half Tetrahedron=(sqrt(6)*Height of Half Tetrahedron)/2
Half Edge of Half Tetrahedron=sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/2

Can the Half Edge of Half Tetrahedron given Surface to Volume Ratio be negative?

No, the Half Edge of Half Tetrahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Half Edge of Half Tetrahedron given Surface to Volume Ratio?

Half Edge of Half Tetrahedron given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Half Edge of Half Tetrahedron given Surface to Volume Ratio can be measured.

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